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1592 results for "with".

Second order differential equations - sine forcing
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Question in Daniel's workspace by Daniel Nucinkis

Find the general solution of $y''+2py'+(p^2-q^2)y=A\sin(fx)$ in the form $A_1e^{ax}+B_1e^{bx}+y_{PI}(x),\;y_{PI}(x)$ a particular integral. Use initial conditions to find $A_1,B_1$ .
Integration by parts 1 with limits
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Question in joshua's workspace by joshua boddy

Given that $\displaystyle \int^i_j x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Integration by parts 2 - cos and sin with limits
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 2 - cos and sin with limits 19/10
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Question in Katie's workspace by Katie Dexter

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 3 - exponential with limits
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)e^{cx}\; dx$
Integration by parts 4 - logarithm with limits
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$
Integration with Partial Fractions 2
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Question in joshua's workspace by joshua boddy

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.
IP3.1
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Question in Bill's workspace by Bill Foster

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$ , find the expectation $E$ and $P(X \gt E)$ .
IP3.2
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Question in Bill's workspace by Bill Foster

Determine if the following describes a probability mass function.

$P(X=x) = \frac{ax+b}{c},\;\;x \in S=\{n_1,\;n_2,\;n_3,\;n_4\}\subset \mathbb{R}$ .
IP3.3
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Question in Bill's workspace by Bill Foster

Two numbers from a set of $5$ numbers are chosen at random, without replacement. Find the distribution $X$ of their sum and $E[X]$ .
Integration 1 - Substitution (with limits)
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Question in Katie's workspace by Katie Lester

Step by step solving for integration by substitution
Integration 2 - Substitution
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Question in Katie's workspace by Katie Lester

Solving integration by substitution without help
Integration 2 - Substitution 15/10
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Question in Katie's workspace by Katie Dexter

Solving integration by substitution without help
Graham's copy of Complex Numbers: Modulus, Argument
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Question in Graham's workspace by Graham Wynn

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
Graham's copy of Graham's copy of Complex Numbers: Modulus, Argument
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Question in Graham's workspace by Graham Wynn

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
Differentiation 9 - Chain Rule
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Question in Katie's workspace by Katie Lester

Using the chain rule with polynomials
draw a rectangle
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Question in David's workspace by TEAME CIT

The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.
Differentiation 1 - Basic Polynomial Expressions (with second derivatives)
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Question in Katie's workspace by Katie Lester

A basic introduction to differentiation
Differentiation 10 - Chain Rule
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Question in Katie's workspace by Katie Lester

Using the chain rule with polynomials and negative powers
Differentiation 12 - Product Rule (with Chain Rule)
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Question in Katie's workspace by Katie Lester

Using the chain rule within product rule problems
Differentiation 16 - Applications
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Question in Katie's workspace by Katie Lester

Finding the stationary points of a cubic with two turning points
Differentiation 17 - Applications
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Question in Katie's workspace by Katie Lester

Real life problems with differentiation
Differentiation 2 - Basic Polynomial Expressions
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Question in Katie's workspace by Katie Lester

More work on differentiation with fractional coefficients
Differentiation 3 - Basic Polynomial Expressions
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Question in Katie's workspace by Katie Lester

More work on differentiation with fractional coefficients and powers
David's copy of Complex Numbers: Modulus, Argument
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Question in David's workspace by David Rickard

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
Complex Numbers: Modulus, Argument
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Question in Bill's workspace by Bill Foster

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
Complex Numbers: Modulus, Argument
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Question in Christoph's workspace by Christoph Walti

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!
Confidence Interval
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Question in Hayley's workspace by Hayley Moore and 1 other

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.
Bill's copy of Rearranging equations by multiplying or dividing: One step
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Question in Bill's workspace by Bill Foster

No description given
BODMAS 1 - Basic
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Question in Katie's workspace by Katie Lester

Working with BODMAS at a basic level

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